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Cosmological constraints of Palatini $f(\mathcal{R})$ gravity

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arxiv 2310.17339 v1 pith:7SAMKSIC submitted 2023-10-26 gr-qc

classification gr-qc
keywords dataconstraintscosmologicalgravitymodelpalatinianalysiscombination
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abstract

In this study, we investigate a Palatini $f(R)$ gravity model featuring a quadratic term correction, aligning it with the most recent expansion rate data, with a particular focus on the latest SNIa and BAO data. Our analysis employs CC data as the fundamental dataset, complemented by contributions from the SN sample and a combination of non-overlapping transversal BAO datasets. We conduct a comprehensive MCMC analysis for each data set combination, yielding constraints on all cosmological parameters within the model. Additionally, we incorporate the latest Hubble constant value from the SH0ES Team. Finally, we present a statistical comparison between the Palatini quadratic model and $\Lambda$CDM using the AIC and BIC metrics, ultimately obtaining the constraint $|\alpha| \leq 10^{49}\,\text{m}^2$. We also stress the significance of studying stellar and substellar objects for obtaining more precise constraints on modified gravity compared to those derived from cosmological observations.

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Cited by 2 Pith papers

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  1. Geometric formulation of $k$-essence and late-time acceleration

    gr-qc 2025-05 conditional novelty 6.0 of 10

    Integrable vectorial nonmetricity gravity is shown to be equivalent to purely kinetic quadratic k-essence, which fits late-time data as well as ΛCDM.

  2. Inflationary assessment of $F(\mathcal{R},\tilde{\mathcal{R}})$ Einstein-Cartan models

    gr-qc 2025-12 conditional novelty 5.0 of 10

    Adding cubic Holst-invariant terms to F(R,R̃) Einstein-Cartan inflation models systematically lowers the predicted spectral index n_s and tensor-to-scalar ratio r, restoring data compatibility in parameter regions whe...

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